In this paper we completely characterize when the commutator and semi-commutator of two monomial-type Toeplitz operators on the Fock space over ℂⁿ have finite rank. In sharp contrast to Bergman space over the unit ball case, it turns out that there are many other cases on the Fock space for (semi-)commuting Toeplitz operators.

中文翻译：

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Fock空间上Toeplitz算符的交换子和半交换子

在本文中，我们当换向器和两个单项型Toeplitz算子的半换向器上的福克空间超过ℂ完全表征^Ñ具有有限秩。与单位球盒上的Bergman空间形成鲜明对比的是，事实证明，Fock空间上还有许多其他情况用于（半）通勤Toeplitz算子。